Waves and Compressible Flow (Texts in Applied Mathematics) - Hardcover

Hilary Ockendon

Hardcover

ISBN 10: 038740399X ISBN 13: 9780387403991

Publisher: Springer, 2004

Synopsis

This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.

About this title

From the Back Cover:

 

This book aims to give readers a broad mathematical basis for modeling and understanding the wide range of wave phenomena encountered in modern applications, especially in gasdynamics. The material originated from a coarse that has been taught at Oxford University for many years. It is a development of  Inviscid Fluid Flows, by H. Ockendon and A. B. Tayler (Springer, 1983), which has been retitled and completely rewritten to reflect current research interests. In particular, a more comprehensive collection of models is used to illustrate the underpinning mathematical methodologies. These methodologies have been expanded to include the basic ideas of hyperbolic differential equations, characteristics, ray theory, asymptotic analysis, dispersion, shock waves, and weak solutions. Although the main focus is on compressible fluid flow, the authors show how wave phenomena in other areas such as electromagnetism and solid mechanics can be treated using similar techniques.

Special emphasis is placed on the development of physical intuition to supplement and reinforce analytical thinking. Each chapter includes a complete set of carefully prepared exercises, making this a suitable textbook for students in applied mathematics, engineering, and other physical sciences. 

About the Author:

Hilary Ockendon is an Emeritus member of the Oxford Centre for Industrial and Applied Mathematics. Her research interests are in fluid dynamics and industrial mathematics, including nonlinear wave propagation in gasses.
John Ockendon is an Emeritus Professor at the University of Oxford. His research interests include differential equations, mathematical modeling, and industrial applications.

About this edition

• Publisher: Springer
• Publication date: 2004
• ISBN 10: 038740399X
• ISBN 13: 9780387403991
• Binding: Hardcover
• Number of pages: 197